The sum of the squares of two consecutive positive numbers is 61. What is the smaller number?
2 Answers
Jun 28, 2016
Smallest no is
Explanation:
Let the smaller no be
Given:
#n^2 + n^2 + 2n + 1 - 61 = 0#
#n^2 + n^2 + 2n + 1 - 61 = 0#
#2n^2 + 2n - 60 = 0#
#n^2 + n - 30 = 0#
# (n+6)(n-5) = 0# =># # n = -6# or # n=5#
Discard
Jun 28, 2016
The smaller number is
Explanation:
Let the smaller number be
Hence
But as we need positive numbers only,